Seismic data interpolation using nonlinear shaping regularization |

where is a new version of the commonly defined shown in equation 6 and denotes a linear combination operator. This new shaping operation apply a biased combination between the current model and the previous model, thus is thought to be faster.

Substituting in equation 6 with in equation 12, and combined with equation 10, we get a faster version of shaping regularization:

The linear combination operator can be defined as

where .

Seismic data interpolation using nonlinear shaping regularization |

2015-11-24